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8 lines
No EOL
2.2 KiB
JSON
8 lines
No EOL
2.2 KiB
JSON
{
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"question": "Jackie is trying to decide whether to do her taxes herself or hire an accountant. If she does the taxes herself, she'll be able to do 3 fewer hours of freelance work, losing $35/hour in missed income. The accountant charges $90. How much more money will she have if she hires the accountant?",
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"answer": "First find the total lost revenue if Jackie does her taxes herself: $35/hour * 3 hours = $<<35*3=105>>105\nThen subtract the accountant's charge to find how much money Janet saves: $105 - $90 = $<<105-90=15>>15\n#### 15",
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"id_orig": 164,
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"id_shuffled": 65,
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"question_annotated": "{name,Jackie} is trying to decide whether to do {task,her taxes} herself or hire {profession,accountant}. If she does them herself, she'll be able to do {n,3} fewer hours of {work_type,freelance} work, losing {cur,$}{rate,35}/hour in missed income. Additionally, if she does {task,her taxes} herself, she'll need to spend {extra,5} hours mailing the completed tax documents, further reducing her {work_type,freelance} time. {profession,accountant} charges {cur,$}{fee,90}. How much more money will she have if she hires {profession,accountant}?\n\n#init:\n- name = sample(names_female)\n- task = sample([\"her taxes\"])\n- profession = sample([\"an accountant\", \"a financial advisor\", \"a tax consultant\"])\n- work_type = sample([\"freelance\", \"consulting\", \"part-time\", \"contract\"])\n- cur = sample(currencies_sym)\n- $n = range(4, 14)\n- $rate = range(20, 100)\n- $fee = range(50, 200)\n- $extra = range(2, 6)\n\n#conditions:\n- (n+extra) * rate > fee\n\n#answer: (n+extra) * rate - fee",
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"answer_annotated": "First find the total lost revenue if {name} does {task} herself: {cur}{rate}/hour * {n} hours = {cur}<<{rate}*{n}={rate*n}>>{rate*n}.\nShe also has to spend {extra} hours of her work on mailing the documents which will be {extra} * {rate} = {extra*rate}. So in total, doing taxes by herself will cost {name} {cur}{rate*n}+{extra*rate} = {cur}{(n+extra)*rate}.\nThen subtract {profession}'s charge to find how much money {name} saves: {cur}{rate*(n+extra)} - {cur}{fee} = {cur}<<{rate*(n+extra)}-{fee}={rate*(n+extra)-fee}>>{rate*(n+extra)-fee}\n#### {rate*(n+extra)-fee}"
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} |